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Mixture and Alligation


1. A trader mixes 36 kg of grain at Rs.26 per kg with 24 kg of grain of other variety at Rs.36 per kg and sells the mixture at Rs.33 per kg. His profit percent is:

(6) 2/3%

8%

10%

No profit, no loss


2. A bucket contains 60 litres of pure wine, in which some quantity is drawn off and replaced with water. This process is repeated for two times. Find the quantity drawn off each time if the final ratio of wine to water is 81 : 19?

4 litres

6 litres

3 litres

5 litres


3. A person mixes item A costing Rs. 30/kg with item B costing Rs. 5/kg, and produces a mixture which costs Rs. 12/kg. The ratio in which the person mixes items B and A is:

7 : 18

5 : 13

12 : 13

18 : 7


4. From a container of wine, 15 litres of wine is taken and replaced with same quantity of water. This process is repeated two more time and the ratio of wine and water became 343:169. The initial amount of wine in the container was?

125 litres

100 litres

150 litres

120 litres


5. A dairy man pays Rs 64 per litre of milk. He adds water and sells the mixture at Rs 80 per litre thereby making a profit of 37.5%. Find the ratio of the water to milk in the sold product?

1 : 15

1 : 20

1 : 12

1 : 10


6.

A trader has 88 kg of rice, a part of which he sells at 14% profit and the rest at 8% loss. On the whole, his loss is 4%. What is the quantity sold at 8% loss?

16 kg

72 kg

64 kg

78 kg


7. A grocer buys two types of rice at Rs. 18 and Rs. 12 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 17.5 per kg, 25% may be gained?

2 : 1

3 : 2

2 : 3

1 : 2


8. In a mixture of 60 liters, the ratio of milk and water is 2 : 1. What amount of water must be added to make the ratio of milk and water as 1 : 2?

42 liters

56 liters

60 liters

77 liters


9. 250 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?

60 liters

75 liters

80 liters

100 liters


10. There are two vessels. In the first vessel, the ratio of copper and aluminium is 1 : 2 and in the 2nd vessel, 1 : 4. In what ratio these two vessel should be mixed to make 3rd vessel in which the ratio of copper and aluminium become 1 : 3?

5:3

3:5

2:5

5:2